Iterative refinements of the Hermite-Hadamard inequality, applications to the standard means

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Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Raissouli, Mustapha (2010) Iterative refinements of the Hermite-Hadamard inequality, applications to the standard means. Journal of Inequalities and Applications, 2010. pp. 1-13. ISSN 1025-5834

Abstract

Two adjacent recursive processes converging to the mean value of a real-valued convex function are given. Refinements of the Hermite-Hadamard inequality are obtained. Some applications to the special means are discussed. A brief extension for convex mappings with variables in a linear space is also provided.

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Additional Information

Online ISSN: 1029-242X
Item type Article
URI https://vuir.vu.edu.au/id/eprint/7394
DOI 10.1155/2010/107950
Official URL http://www.hindawi.com/journals/jia/2010/107950/ab...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0102 Applied Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID19732. Hermite-Hadamard Inequality, standard means, inequalities, convex function, convex mapping, linear space
Citations in Scopus 3 - View on Scopus
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